31 citations · 128 across the 29 of their papers we have counts for
Showing 2015 · math.CAShow all
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math.CA2015★ 3 cited
A Discrete Quadratic Carleson Theorem on with a Restricted Supremum
Ben Krause, Michael Lacey
Consider the discrete maximal function acting on functions \[ \mathcal{C}_Λ f( n ) := \sup_{ λ\in Λ} \left| \sum_{m \neq 0} f(n-m) \frac{e^{2 πiλm^2}} {m} \righ…
math.CA2015
On the Hardy--Littlewood majorant problem for arithmetic sets
Ben Krause, Mariusz Mirek, Bartosz Trojan
The aim of this paper is to exhibit a wide class of sparse deterministic sets, , so that \[ \limsup_{N \to \infty} N^{-1}|\mathbf B \cap [1,N]|= 0,…
math.CA2015
Two-parameter version of Bourgain's inequality: Rational frequencies
Ben Krause, Mariusz Mirek, Bartosz Trojan
Our aim is to establish the first two-parameter version of Bourgain's maximal logarithmic inequality on for the rational frequencies. We achieve this by introduc…